查询词典 convolution theorem

In view of the disadvantages existing in the proof of the theorem of the classification, this dissertation analyzes the necessity and feasibility to give a second proof, and elaborates on the GLS Project according to the latest research information.9. The finish of the classification of finite simple groups has profound influence on mathematics and other fields.

挖掘了分类定理最初证明中存在的弊端，提炼并概括出对分类定理进行二代证明的必要性与可行性，通过查阅最新研究资料，详细介绍了目前正在进行的GLS计划。9。

The article roughs out some result about the mapping class group of a toms,including a classical theorem about the classification of all automorphisms of a toms.

文章介绍了关于环面的映射类群的一些结果，包括环面到自身的自同胚类的分类的经典结果。

Then presents a new classification algorithm based on theorem of Information granularity?3. introduces the distillation of text character in text clustering ,presents an iteration procedure to obtain the weight of riles and words.

随后从理论的层面来剖析聚类/分类算法，并介绍了一种基于粒度的分类算法；四、介绍了在文本处理中如何提取文本特征，给出了一种权重计算的对偶性策略。

In this paper, we prove that if Ф is parallel and A+G+μB=0 for some functions λ,μ, then Ф=0, which gives the classification of the hypersurfaces in S(superscript n+1) with parallel Mbius form and A+G+μB=0 from the classification theorem in paper of Li H.

本文证明了如果x的Mbius形式Ф平行，并且A+λG+μB=0，其中λ，μ分别是定义在M上的光滑函数，那么Φ=0，由此及李海中、王长平（2003年）文献中的分类定理给出了S(上标 n+1)中具有平行的Mbius形式及满足A＋λG+μB=0的超曲面的分类。

Chapter one has introduced the background and classification of minimax theorems; Chapter two summarizes several proof method of minimax theorems, which are illustrated with examples; Chapter three has explained the development general situation of minimax theorems for a function and for two functions with chapter four respectively, and according to the classification of the theorem, has illustrated some important conclusionses in quantitative minimax theorems, topological minimax theorems and quantitative-topological minimax theorems separately.

第一章介绍了极大极小定理的背景及其分类；第二章总结了极大极小定理的几种证明方法，并举出例子进行说明；第三章和第四章分别阐述了单函数的极大极小定理和两个函数的极大极小定理的发展概况，在第三章中，按照极大极小定理的分类，分别对数量极大极小定理，拓扑极大极小定理和数量拓扑极大极小定理的一些重要结论作了介绍。

Then it proves a necessary and sufficient condition for anamalgamation of two 3-manifolds with toms boundary with no new incompressible surfaces.Lastly, with the help of the condition and the theorem about the classification of allautomorphisms of a torus, it is proveed that there exists infinitely many 3-manifolds each ofwhich contains no incompressible surfaces besides a torus.

最后，文章给出了以环面作为边界的两个3维流形在作融合积时不产生新的不可压缩曲面的一个充分必要条件，并将这个结果与关于环面到自身的自同胚类的分类的结果相结合，证明了本文的一个核心结论，即存在无穷多个互不同胚的3维流形满足除了一个环面以外不含有其他的不可压缩曲面。

Firstly , using the conditional independence test built the Bayesian network structure , and desensitizes remote sensing data of study area . Secondly , applying Bayesian network theorem as classification principle classifies every single pixel to a pixel of maximum probability sort .

采用贝叶斯网络分类对具有典型干旱特征的库车县土壤盐渍化情况进行监测，首先应用条件独立性测试原理建立贝叶斯网络结构，把研究区遥感数据进行离散化，然后应用贝叶斯定理作为分类原则，将每个像元分为像元最大概率的类别。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论，tame concealed代数模范畴的结构，单点扩张，向量空间范畴，有限enlargement，退化理论，稳定等价以及组合的方法等多种方法和技巧，将所有由系统箭图Q给出的三点代数按表示型进行分类，得到如下分类定理：Q是系统箭图，I是kQ的一个admissible理想。

The Fary-Milnor theorem states that the total curvature of a knotted simple closed curve in R^3 is greater than 4π.

Fary-Milnor 定理：一条空间中的简单封闭扭结其总曲率必大於4π。

The assertion is known as the closed graph theorem for Hilbert spaces.

这个断语被称为希耳伯特空间的闭图象定理。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。